QUESTION 8
The city Music Hall charges $24.00 per adult and $14.00 per senior citizen. One day 492 people attended a concert. The total for tickets purchased
was $7878.00. How many senior citizens attended the concert?
O 393 senior citizens
O 99 senior citizens
O200 senior citizens
O 292 senior citizens

Answers

Answer 1

Answer:

Adults (x) = 99 and

Seniors (y) = 393

393 seniors

Step-by-step explanation:

Adults= x

Seniors = y

1) x+ y = 492

2) 24x + 14y = 7,878

1) x = 492 - y

2) 24 (492 - y) + 14 y = 7,878 (substitution)

11808 - 24y + 14y = 7,878

11,808 - 10y = 7,878

11,808 - 7,878 = 10y

3,930/10 = y

y = 393

1) x + 393 = 492 (substitution)

x = 492 - 393

x = 99


Related Questions

A coffee shop sells lattes for $4 and cappuccinos for $3. Last Friday, they sold 78 drinks for a total of $252.



How many cappuccinos were sold?

Answers

Answer: 60 cappuccinos were sold.

Explanation:
x = number of lattes sold
y = number of cappuccinos sold

Two equations can be set up:
x + y = 78
4x + 3y = 252

The first equation can be rearranged and substituted into the other equation to find the value of a variable.

y = 78 - x
4x + 3(78 - x) = 252
4x + 234 - 3x = 252
x + 234 = 252
x = 18

To find y, the value of x can be substituted into either equation.

x + y = 78
18 + y = 78
y = 60

To check answers, substitute both values into the original equations and make sure they work.

x + y = 78
18 + 60 = 78
78 = 78

4x + 3y = 252
4(18) + 3(60) = 252
72 + 180 = 252
252 = 252

Number of sold cappuccinos will be 60.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

A coffee shop sells lattes for $4 and cappuccinos for $3.

Last Friday, they sold 78 drinks for a total of $252.

Now,

Let number of lattes = x

Number of cappuccinos = y

Since, Last Friday, they sold 78 drinks.

So, we can formulate;

x + y = 78   ... (i)

And, Last Friday, they sold 78 drinks for a total of $252.

So, we can formulate;

4x + 3y = 252 ... (ii)

Solve equation (i) and (ii) we get;

x + y = 78

4x + 3y = 252

Multiply by 4 in equation (i) and subtract from (ii) we get;

4x + 3y - 4x - 4y = 252 - 312

- y = - 60

y = 60

And, x + y = 78

x + 60 = 78

x = 18

Thus, Number of sold cappuccinos will be 60.

Learn more about the linear expression visit:

https://brainly.com/question/28718030

#SPJ2

Lamar made $110 for 5 hours of work.
At the same rate, how much would he make for 12 hours of work?

Answers

Answer:

264

Step-by-step explanation:

to find one hour

110÷5=22 per hour

12×22=264

Answer: Lamar would make $264 in 12 hours of work.

First we would try to find how much he would make in an hour, so technically the unit rate.

TO find the unit rate we have to do 110/5 which is equal to $22

Then we know that Lamar is working for 12 hours and that he makes $22 per hour. SO,  12 times 22 is 264.

Step-by-step explanation:

I hope this helps, if you are having a tough time with math you can use:

khan academy

math nation

and many more free sites!

Shyla Cuts 6 strips of ribbon to make her hair bows when she is done she realizes that each strip is 1/8 too short how does the total length of strips compared to what their total length should have been?​

Answers

The total length is 7/8 of what it should have been.

pls mark me brainliest :)

A, b, c or d?????? Pls help quick

Answers

Answer:

The answer is a

Step-by-step explanation:

have a nice day :)

Complete the equation so that it has
infinitely many solutions.
48 - 2) = (2x -

Answers

The equation can be simplified to x/2-8, which mean that after timing with 1/4, the remaining should be 32 because 32*1/4 would be 8.
Final answer: Missing part of the answer is 32. Please mark me brainliest. Thanks

a. 2300ml=_____l b. 9400ml=_____l c. 9l=________ml d. .7l=_______ml e. 9.7l=_____ml
f. 670ml=_______l g.217ml=_______l h. 1200ml=______l

Answers

A) 2.3l
B) 9.4l
C) 9000ml
D) 700ml
E)9700ml
F).67l
G) .217l
H) 1.2l

Answer:

a) 2300 ml = 2.3 l

b) 9400 ml = 9.4 l

c) 9 l = 9000 ml

d) 7 l = 7000 ml

e) 9.7 l = 9700 ml

f) 670 ml = 0.67 l

g) 217 ml = 0.217 l

h) 1200 ml = 1.2 l

Step-by-step explanation:

For converting milliliter to liter, divide the number (ml) by 1000. For converting liter to milliliter multiply the number (l) by 1000.

Expand the following

Answers

Answer:

a) 4x+4

b) 7x-14

c) 12x +18

d) 10x-10y

Answer:

4x+4

7x-14

12x+18

10x-10y

Step-by-step explanation:

Multiply. 3 1/3 1 3/4 Express your answer in simplest form. 5 5/12 5 5/6 6 5/6 6 5/12

Answers

Answer:

[tex]5\frac{5}{6}[/tex]

Step-by-step explanation:

[tex]3\frac{1}{3}*1\frac{3}{4}[/tex]

[tex]\frac{10}{3} *\frac{7}{4} \\[/tex]

[tex]\frac{10*7}{3*4}[/tex]

[tex]\frac{70}{12}[/tex]

First you can divide both sides by 2

[tex]\frac{70}{12}=\frac{35}{6}[/tex]

Now make it as a mix number

[tex]\frac{35}{6} =5\frac{5}{6}[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

help pls?? answer for me??f

Answers

ANSWER

C PO SANA MAKATULONG PO YAN

PLS HELP DUE IN 1 HOUR

write the expression using positive exponents
1/3^-5

Answers

Answer:   3^5

Explanation:

The rule used is [tex]\left(\frac{a}{b}\right)^{-c} = \left(\frac{b}{a}\right)^{c}[/tex]

That rule says to go from a negative exponent to a positive exponent, we apply the reciprocal of the fraction.

So,

[tex]\left(\frac{1}{3}\right)^{-5} = \left(\frac{3}{1}\right)^{5} = 3^5[/tex]

Find the measures of the following angles

Answers

Answer:

HGD: 117

FDG: 180

Step-by-step explanation:

Answer:

<HDG = 117 degrees

<FDG = 63 degrees

Step-by-step explanation:

Its a straight line

These are supplementary angles

If its a striaght line its 180 degrees.

We already know theres a 63 degrees so we jsut gotta subtract

180-63=117

So 117 degrees for HDG

What is the constant of proportionality in the equation y 5/4 x ?

Answers

Answer:

Firest y5/ 4x = y5 - 4 /4X -4

x= y

Can you help me solve pleas

Answers


Krazy module- qwe msnsms

WILL MARK BRAINLIEST!
Identify if the polynomial is a monomial, binomial, trinomial or multinomial.

Answers

Answer:

multinomial

Step-by-step explanation:

polynomial are equal to multinomial

Enter an equation for the statement.


The price of a radio r is $40 less than the price of CD player p.


The equation is ____=____

Answers

Answer:
r-40=p
Explication:
The price of a radio is $40 less then a CD player

english 2 hhhhhhhheeeelllpppp

Answers

The correct answer is C.

Hope this helps !! :)

A video game store was getting rid of old games, selling them 5 for $102.05. If they sold 3 games, how much money would they have made?

First determine how much one game would be and then calculate how much they would make selling 3 games. You must answer BOTH.

one game costs $________

3 games would make them $_______

Answers

Answer:

20.41

Step-by-step explanation:

I got the answer by doing 102.05 divided by 5 the took that number and multiplied it by 3 to get the answer 61.23

Are the shapes simliar?





a
No
b
Yes
c
There is no way to determine this.

Answers

Answer:

yes

Step-by-step explanation:

could I get brainliest please

(8.1 x 10⁻⁴) - (9.5 x 10⁻⁵)

Answers

Answer:

[tex]7.15*10^{-4}[/tex]

Step-by-step explanation:

[tex](8.1*10^{-4})-(9.5*10^{-5})=0.00081-0.000095\\\\=0.000715 = 7.15*10^{-4}[/tex]

I don’t know how do do this please help me cuz this is due before 7

Answers

Answer:

That's all

Step-by-step explanation:

you need to replace the values then solve

Answer:

27.      1^-8  =  1/1^8  =  1

28.       2^-5  =  1/2^5  =  1/32

29.       -3^-3  =  - 1/3^3  =  -  1/27

30.       2^-1   =    1/2  = 1/2

31.       -3^-4  =  -  1/3^4  =  -  1/81

32.       5^-3  =   1/5^3  =  1/125

33.       1^-99  =  1/1^99  =  1

34.       1^-3  =  1/1^3   =  1

35.       4^-3  =  1/4^3  = 1/64

36.       2^-3  =    1/2^3   =   1/8

Step-by-step explanation:

Rewrite the expression using the negative exponent rule b^−n=1/b^n

1/2^3

Raise 2 to the power of 3

1/8

The result can be shown in multiple forms, but this is fraction form.

1/8

I hope it helps!!

There are five red, 3 blue and a white marble in a jar. What is the probability of selecting
a white marble, replacing it, then selecting a white marble again?

Answers

Answer:

1/81 I think now 100% sure though

solve an equation to find the value of x

Answers

Answer:

(7+x)°=180-130

x=50-7

x=43

Easy math problem.....

Answers

Answer:

A should be correct.

Step-by-step explanation:

Given, a = 1/2 and b = -1/3

First, let's solve the numerator. Then we have:

1/2 - 1/3

= 1/6

Since we found out our numerator, It is time to find out our denominator.

We have:

1/2 x -1/3

= -1/6

Since we now know the numerator and the denominator, we can now find out what is a+b/ab. We can find that by adding the numerator and denominator.

1/6 divided by -1/6 is equaled to -1.

Therefore, A should be correct.

Kind requests:

Please give me brainliest. Glad to help :)

If you are currently viewing this answer, please give me 5 stars and a thanks. Also, if you send me a friend request, I will gladly accept it :D

Answer:

A. -1

Step-by-step explanation:

1/2 + -1/3

-------------

1/2 x -1/3

First, make 1/2 and -1/3 have the same denominator

1/2 x 3/3 = 3/6

-1/3 x 2/2 = -2/6

Add

3/6 + -2/6 = 1/6

Multiply

1/2 x -1/3

1 x -1

-------

2 x 3

= -1/6

This makes the big equation

1/6

-----

-1/6

Simplify

1/6 / 1/6

-----------

-1/6 / 1/6

1/-1

or -1

Which of the following functions represents an absolute value function?
y = |x - 21
O y = x-2
y = x

Answers

y = |x - 21| represents an absolute value function.

Jeff made 2 out of every 5 baskets he shot during basketball practice. If he took 25 shots, how many baskets did he make? You MUST show your proportion and work!

Answers

Answer:

30 many shoot basket did he make

Lisa baked d cookies. Her family ate 20 of them. Using d, write an expression for the number of cookies that remained.

Answers

Answer:

d - 20 = r

r = remaining amount

Answer:

l=d-20

Step-by-step explanation:

use l for leftover cookies.

l=d-20

Hope this helps!

Is side length 17, 144, and 145 right triangle?

Answers

Yes it is.

Use the Pythagorean Theorem:

a²+b²= c²

So, 17²+144²=145²

289+20736=21025

289+20736=21025

21025=21025

can someone help me please

Answers

Answer:

53 degrees

Step-by-step explanation:

m<J = m<Q

Both triangles are congruent to each other by the given information. Since both triangles are congruent, their corresponding parts must also be congruent. Therefore, the CPCTC (Corresponding Parts of Congruent Triangles are Congruent) Postulate can be applied. As a result, all corresponding side lengths and angle measures are congruent in both triangles. That means that m
Feel free to give Brainliest!

Simplify
10-2
103
-100,000
*
1
10
1
10
100,000
RETRY

Answers

Answer:

100,000

Step-by-step explanation:

[tex] (\dfrac{10^{-2}}{10^3})^{-1} = [/tex]

When you divide powers with the same base, subtract the exponents.

[tex] = (10^{-2 - 3})^{-1} [/tex]

[tex] = (10^{-5})^{-1} [/tex]

To raise a power to a power, multiply the exponents.

[tex] = 10^{-5 \times (-1)} [/tex]

[tex] = 10^5 [/tex]

[tex] = 100,000 [/tex]

which ratios are equivalent to 7: 15.

Answers

There are multiple… like 14:30 and another would be 35:75

Just multiply each side by the same amount like with 14:30 I multiples 7 by 2 so I multiples 15 by 2 also and for 35:75 I multiplied 7 by 5 and 15 by 5 if that helped at all :)
Other Questions
can i get help for number 3???!?! please!! Find the value of x, and please explain how you got x hina's growth rate of real GDP in 2005 and 2006 was 10.5 percent a year and its population growth rate was 0.5 percent a year. If these growth rates continue, in what year would real GDP per person be twice what is was in 2006? If these growth rates continue, real GDP per person would be twice what is was in 2006 at the end of _______. PLEASE HELP ASAPIf 4(A) between 5/8 and 4/5 (B) between 1 and 2 (C) between 0 and 2 (D) between 1/2 and 1 (E) cannot be determined Can you help me plss.. Directions: Fill-out the table with the details needed to express your thoughts about your chosen topic in Practice Task 2. Who do you look like?paragraphs Whats the purpose of understanding the judicial branch? What are some limits placed on the power of the judicial branch? 5) What is the slope of the line?50 POINTS PLS HELP ASAP AND THANK YOU What determines whether a metamorphic rock is foliated or nonfoliated? Who is the "stand-up guy" the title of All Souls chapter 8 refers to? What does it mean to be a "stand-up guy" and do you agree that the person Michael Patrick MacDonald is referring to is a "stand-up guy?" 136 is 0.8% of what number? Use pencil and paper. Would you expect the answer to be a lot less than 136, slightly less than 136, slightly greater than 136, or a lot greater than 136? Explain. Mt ng 43 tui n khm tng qut. Phn tch nc tiu thy c ng niu. Bn va bit c mt test T dung pht hin bnh tiu ng nh sau: 138 cho T+ trn 150 ngi b tiu ng v 24 cho T+ trn 150 ngi khng b tiu ng. a) Tm nhy, chuyn, dng gi, m gi ca T b) Bng phng php th mu (T) c nhy 0.8; chuyn 0.96; em p dng cho hai nhm trn th gi tr on trc l bao nhiu nu T dng tnh. c) Vi bnh nhn ny, nu T dng tnh bn cho l c kh nng 90% b tiu ng cn nu T' cng dng tnh th kh nng b tiu ng l bao nhiu 12096[5 {23 3 (12 22 16)}] The next model of a sports car will be 12.6% less than the current model. The current model is 32,000. How much will the price decrease? How much will the next model be? A closed, uninsulated system fitted with movable piston, so no matter is exchanged with the surroundings, was assembled. Introduction of 430 J of heat caused the system to expand, doing 238 J of work against a constant pressure of 101 kPa. What is the value of for this process Total bill 106.94 people went to a restaurant.Write an expression using fractions to show how to determine the amount hat each person will pay then calculate each persons contributions showing all steps in long devisionOk so this question baffles me lol does anyone know how I would even start doing this!? 513(4) hellllllllllllllllllllllllllllllllllllllllppppppppppppppppppppppppppppp Write a statement and reason proof. ____________ summarizes and submits financial information of a business or organization in reports and statements.A. Balance sheetB. ExpenseC. Income statementD. Accounting Here is a list of numbers:1.9, 0.1, 7.7, 6.8, 6, 7, 7.8, 2.8, 6.9, 3.5State the median.Give your answer as a decimal.